612747264 has 192 divisors, whose sum is σ = 1788696000. Its totient is φ = 185794560.

The previous prime is 612747263. The next prime is 612747281. The reversal of 612747264 is 462747216.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (612747263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3385254 + ... + 3385434.

It is an arithmetic number, because the mean of its divisors is an integer number (9316125).

Almost surely, 2^612747264 is an apocalyptic number.

612747264 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 612747264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894348000).

612747264 is an abundant number, since it is smaller than the sum of its proper divisors (1175948736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

612747264 is a wasteful number, since it uses less digits than its factorization.

612747264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 234 counting only the distinct ones).

The product of its digits is 112896, while the sum is 39.

The square root of 612747264 is about 24753.7323246415. The cubic root of 612747264 is about 849.3638903977.

The spelling of 612747264 in words is "six hundred twelve million, seven hundred forty-seven thousand, two hundred sixty-four".